Banach algebra

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Banach algebra

[′bä‚näk ′al·jə·brə]
(mathematics)
An algebra which is a Banach space satisfying the property that for every pair of vectors, the norm of the product of those vectors does not exceed the product of their norms.

Banach algebra

(mathematics)
An algebra in which the vector space is a Banach space.
References in periodicals archive ?
In this case every commutative Gelfand-Mazur algebra A is homomorphic/isomorphic with a subalgebra of C(homA), similarly to the case of commutative Banach algebras.